The Cauchy Problem for the Planar Spin-Liquid Model
Loading...
Files
Date
Authors
Pashaev, Oktay
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we study the Cauchy problem of a two-dimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear Schrödinger equations interacting with a Chern-Simons gauge field is established.
Description
Keywords
Cauchy problem, NLS-like equations, Heisenberg model, Schrödinger equation, Cauchy problem, Propagation of singularities; initial value problems on manifolds, nonlinear Schrödinger equations, NLS equations (nonlinear Schrödinger equations), existence, ferromagnetic spin system, uniqueness, Schrödinger equation, Heisenberg model, Chern-Simons gauge field, Statistical mechanics of magnetic materials, NLS-like equations, General existence and uniqueness theorems (PDE)
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Chang, N.-H., and Pashaev, O. (2005). The Cauchy problem for the planar spin-liquid model. Nonlinearity, 18(3), 1305-1329. doi:10.1088/0951-7715/18/3/019
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
4
Source
Nonlinearity
Volume
18
Issue
3
Start Page
1305
End Page
1329
PlumX Metrics
Citations
CrossRef : 4
Scopus : 4
Captures
Mendeley Readers : 1
SCOPUS™ Citations
4
checked on Jun 16, 2026
Web of Science™ Citations
4
checked on Jun 16, 2026
Page Views
1302
checked on Jun 16, 2026
Downloads
395
checked on Jun 16, 2026
Google Scholar™
